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A nuclear cooling tower • The tower is 320 feet high The base measures 268 feet across The top measures 146 feet across The smallest diameter occurs 260 feet above the ground, and is 136 feet across Find two models that can be used to calculate the volume. (Consider common graphs such as polynomial, exponential, elliptical, hyperbolic, trigonometric, etc.) What are the two models you will use to calculate the volume? How did you find them?

A nuclear cooling tower • The tower is 320 feet high The base measures 268 feet across The top measures 146 feet across The smallest diameter occurs 260 feet above the ground, and is 136 feet across Find two models that can be used to calculate the volume. (Consider common graphs such as polynomial, exponential, elliptical, hyperbolic, trigonometric, etc.) What are the two models you will use to calculate the volume? How did you find them?

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Please do question 1 and 3 and please show step by step and explain

A cooling tower is a heat rejection device that rejects waste heat to the atmosphere through the cooling of a water stream to a lower temperature. Cooling towers may either use the evaporation of water to remove process heat and cool the working fluid to near the wet-bulb air temperature or, in the case of closed circuit dry cooling towers, rely solely on air to cool the working fluid to near the dry-bulb air temperature. Common applications include cooling the circulating water used in oil refineries, petrochemical and other chemical plants, thermal power stations, nuclear power stations and HVAC systems for cooling buildings. The classification is based on the type of air induction into the tower: the main types of cooling towers are natural draft and induced draft cooling towers. www In this lab, you will use calculus to approximate the volume of a cooling tower.
Transcribed Image Text:A cooling tower is a heat rejection device that rejects waste heat to the atmosphere through the cooling of a water stream to a lower temperature. Cooling towers may either use the evaporation of water to remove process heat and cool the working fluid to near the wet-bulb air temperature or, in the case of closed circuit dry cooling towers, rely solely on air to cool the working fluid to near the dry-bulb air temperature. Common applications include cooling the circulating water used in oil refineries, petrochemical and other chemical plants, thermal power stations, nuclear power stations and HVAC systems for cooling buildings. The classification is based on the type of air induction into the tower: the main types of cooling towers are natural draft and induced draft cooling towers. www In this lab, you will use calculus to approximate the volume of a cooling tower.
1. A nuclear cooling tower • The tower is 320 feet high • The base measures 268 feet across • The top measures 146 feet across • The smallest diameter occurs 260 feet above the ground, and is 136 feet across Find two models that can be used to calculate the volume. (Consider common graphs such as polynomial, exponential, elliptical, hyperbolic, trigonometric, etc.) What are the two models you will use to calculate the volume? How did you find them? 2. Use technology (your grapher,Desmos, or Geogebra) to graph your best fit models with the key points that were described in number 1. Attach the graph. 3. Use the disk method with each of your best fit models (from part 1) to determine 2 approximations for the volume of the nuclear cooling tower. Show your work. 4. Compare and contrast the two volume approximations. Are your approximatations reasonable? Why or why not?
Transcribed Image Text:1. A nuclear cooling tower • The tower is 320 feet high • The base measures 268 feet across • The top measures 146 feet across • The smallest diameter occurs 260 feet above the ground, and is 136 feet across Find two models that can be used to calculate the volume. (Consider common graphs such as polynomial, exponential, elliptical, hyperbolic, trigonometric, etc.) What are the two models you will use to calculate the volume? How did you find them? 2. Use technology (your grapher,Desmos, or Geogebra) to graph your best fit models with the key points that were described in number 1. Attach the graph. 3. Use the disk method with each of your best fit models (from part 1) to determine 2 approximations for the volume of the nuclear cooling tower. Show your work. 4. Compare and contrast the two volume approximations. Are your approximatations reasonable? Why or why not?
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